Step 1: Understand metal–CO bonding.
In metal carbonyls, CO donates its lone pair from carbon to the metal (σ-bond).
Simultaneously, the metal donates electron density back into the empty π* antibonding orbital of CO. This is known as π-back-bonding.
Step 2: Identify orbitals involved.
The metal uses its filled dπ orbital, while CO uses its empty π* orbital.
Thus, back bonding is of the dπ → π* type.
Step 3: Conclusion.
The correct description of π-back bonding is given in option (C).